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Fractional and Wiener–Hopf factorizations
Authors:Victor M. Adukov
Affiliation:

Department of Differential Equations and Dynamical Systems, Southern Ural State University, Lenin avenue 76, 454080 Chelyabinsk, Russia

Abstract:
A connection between Wiener–Hopf factorizations of an analytic matrix function a(t) and fractional factorizations of the rational part of a−1(t) is obtained. The result is applied to an explicit construction of Wiener–Hopf factorizations of a(t).
Keywords:Wiener–Hopf factorization   Factorization indices   Fractional factorization   Analytic matrix functions
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